pith. sign in

arxiv: gr-qc/0101079 · v1 · pith:TU73WX3Knew · submitted 2001-01-18 · 🌀 gr-qc

Note on Scalar Fields Non-Minimally Coupled to (2+1)-Gravity

classification 🌀 gr-qc
keywords zetascalaranti-decoupledfieldsgravitysittersolutions
0
0 comments X
read the original abstract

Scalar fields non--minimally coupled to (2+1)-gravity, in the presence of cosmological constant term, are considered. Non-minimal couplings are described by the term $\zeta R \Psi^2$ in the Lagrangian. Within a class of static circularly symmetric space-times, it is shown that the only existing physically relevant solutions are the anti-de Sitter space-time for $\zeta=0$, and the Martinez-Zanelli black hole for $\zeta=1/8$. We obtain also two new solutions with non-trivial scalar field, for $\zeta=1/6$ and $\zeta=1/8$ respectively, nevertheless, the corresponding space-times can be reduced, via coordinate transformations, to the standard anti-de Sitter space.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.